

A135980


Numbers k such that the Mersenne number 2^prime(k)1 is composite.


3



5, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78
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OFFSET

1,1


COMMENTS

A135979 is a subset of this sequence.


LINKS

Table of n, a(n) for n=1..66.


FORMULA

prime(a(n)) = A054723(n).


MATHEMATICA

k = {}; Do[If[ ! PrimeQ[2^Prime[n]  1], AppendTo[k, n]], {n, 1, 40}]; k
m = PrimePi @ MersennePrimeExponent @ Range[13]; Complement[Range[m[[1]]], m] (* Amiram Eldar, Mar 12 2020 *)


PROG

(PARI) isok(k) = !isprime(2^prime(k)1); \\ Michel Marcus, Mar 12 2020


CROSSREFS

Cf. A000225, A065341, A054723, A134852, A135975, A135976, A135977, A135978, A135979.
Sequence in context: A111102 A139456 A195684 * A314579 A070873 A234037
Adjacent sequences: A135977 A135978 A135979 * A135981 A135982 A135983


KEYWORD

nonn


AUTHOR

Artur Jasinski, Dec 09 2007


EXTENSIONS

More terms from Amiram Eldar, Mar 12 2020


STATUS

approved



